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Stability of Inverse Pitchfork Domination | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 81، دوره 12، شماره 1، مرداد 2021، صفحه 1009-1016 اصل مقاله (318.42 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4956 | ||
| نویسنده | ||
| Mohammed A. Abdlhusein* | ||
| Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq | ||
| تاریخ دریافت: 10 مهر 1399، تاریخ بازنگری: 17 آذر 1399، تاریخ پذیرش: 30 دی 1399 | ||
| چکیده | ||
| There are few papers deals with stability of the inverse domination number in graphs by adding new edge to the graph or removing edge or vertex. Before this type of study, we need to know the stability of the domination number, then check the stability of the inverse domination. In this paper, the inverse pitchfork domination number $\gamma_{pf}^{-1}(G)$ is studied to be changing or not after adding or removing edge or removing vertex. Some conditions are putted on the graph to be affected or not with several results and examples. | ||
| کلیدواژه‌ها | ||
| dominating set؛ pitchfork domination؛ inverse pitchfork domination | ||
| مراجع | ||
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